Which of the following is an accurate conclusion that can be made using the existence and uniqueness theorem for first-order differential equations for this initial value problem?
A) The initial value problem has a unique solution because f (x, y) is continuous on a rectangle containing the point (10, 6) .
B) The initial value problem is not guaranteed to have a unique solution because fx (x, y) is not continuous when x = -9.
C) The initial value problem has a unique solution because both f (x, y) and fy(x, y) are continuous on a rectangle containing the point (10, 6) .
D) The initial value problem does not have a solution because fx (x, y) and fy (x, y) are not both continuous on a rectangle containing the point (10, 6) .
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